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1426085120 = 2851765537
BaseRepresentation
bin101010100000000…
…0101010100000000
310200101102122000102
41111000011110000
510410034210440
6353301541532
750224344365
oct12500052400
93611378012
101426085120
11671a95949
123397148a8
131995b2865
14d758246c
15852e8b15
hex55005500

1426085120 has 72 divisors (see below), whose sum is σ = 3616911144. Its totient is φ = 536870912.

The previous prime is 1426085119. The next prime is 1426085131. The reversal of 1426085120 is 215806241.

It can be written as a sum of positive squares in 4 ways, for example, as 816587776 + 609497344 = 28576^2 + 24688^2 .

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 1426085120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11009 + ... + 54528.

It is an arithmetic number, because the mean of its divisors is an integer number (50234877).

Almost surely, 21426085120 is an apocalyptic number.

1426085120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1426085120 is an abundant number, since it is smaller than the sum of its proper divisors (2190826024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1426085120 is an equidigital number, since it uses as much as digits as its factorization.

1426085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65575 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1426085120 is about 37763.5422067369. The cubic root of 1426085120 is about 1125.5941210820.

The spelling of 1426085120 in words is "one billion, four hundred twenty-six million, eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 65537 131074 262148 327685 524296 655370 1048592 1114129 1310740 2097184 2228258 2621480 4194368 4456516 5242960 5570645 8388736 8913032 10485920 11141290 16777472 17826064 20971840 22282580 35652128 41943680 44565160 71304256 83887360 89130320 142608512 178260640 285217024 356521280 713042560 1426085120